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Finding the Fourth Proportional to 78,096.53, 117,143.75 and 18,932.70

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Solution

The fourth proportional to 78,096.53, 117,143.75 and 18,932.70 is: 28,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,096.53 : 117,143.75 = 18,932.70 : x
  2. Step 2: Convert to fraction form
    78,096.53/117,143.75 = 18,932.70/x
  3. Step 3: Cross multiply
    78,096.53x = 117,143.75 × 18,932.70
  4. Step 4: Simplify right side
    78,096.53x = 2,217,847,380.96
  5. Step 5: Solve for x
    x = 2,217,847,380.96/78,096.53
  6. Step 6: Final answer
    x = 28,398.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.